Modular Hamiltonian for (holographic) excited states

PEDRO JORGE MARTINEZ; BOTTA-CANTCHEFF, MARCELO; ARIAS, RAÚL; ZARATE, JUAN F.

Potsdam

Seminario; Seminario en el grupo "Gravity, Quantum Fields & Information (GQFI)"; 2020

Max Planck Institute for Gravitational Physics

In this work we study the Tomita-Takesaki construction for a family of excited states that, in a strongly coupled CFT - at large N-, correspond to coherent states in an asymptotically AdS spacetime geometry. We compute the modular flow and modular Hamiltonian associated to these excited states in the Rindler wedge and for a ball shaped entangling surface. Using holography, one can compute the bulk modular flow and construct the Tomita-Takesaki theory for these cases. We also discuss generalizations of the entanglement regions in the bulk and how to estimate the modular Hamiltonian in a large N approximation. Finally we present a holographic formula, based on the BDHM prescription, to compute the modular evolution of operators in the corresponding CFT algebra.La lista completa de seminarios se puede encontrar en https://gqfi.aei.mpg.de/node/3